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Consider the following statement : 1. ...

Consider the following statement :
1. If ABC is an equilateral triangle, then 3 tan(A + B) tan C = 1.
2. If ABC is a triangle in which `A = 78^(@), B = 66^(@)`, then `tan((A)/(2)+C) lt tan A`
3. If ABC is any triangle, then `tan((A+B)/(2))sin((C)/(2)) lt cos((C)/(2))`
Which of the above statements is/are correct?

A

Only 1

B

Only 2

C

1 and 2

D

2 and 3

Text Solution

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The correct Answer is:
B
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